Approximate subgroups
classification
🧮 math.LO
keywords
approximatesubgroupamenablecontaineddefinabledefinablyeveryfirst-order
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Given a definably amenable approximate subgroup $A$ of a (local) group in some first-order structure, there is a type-definable subgroup $H$ normalised by $A$ and contained in $A^4$ such that every definable superset of $H$ has positive measure.
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